Q: What are the factor combinations of the number 5,532,625?

 A:
Positive:   1 x 55326255 x 11065257 x 79037525 x 22130535 x 158075125 x 44261175 x 31615875 x 6323
Negative: -1 x -5532625-5 x -1106525-7 x -790375-25 x -221305-35 x -158075-125 x -44261-175 x -31615-875 x -6323


How do I find the factor combinations of the number 5,532,625?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 5,532,625, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 5,532,625
-1 -5,532,625

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 5,532,625.

Example:
1 x 5,532,625 = 5,532,625
and
-1 x -5,532,625 = 5,532,625
Notice both answers equal 5,532,625

With that explanation out of the way, let's continue. Next, we take the number 5,532,625 and divide it by 2:

5,532,625 ÷ 2 = 2,766,312.5

If the quotient is a whole number, then 2 and 2,766,312.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 5,532,625
-1 -5,532,625

Now, we try dividing 5,532,625 by 3:

5,532,625 ÷ 3 = 1,844,208.3333

If the quotient is a whole number, then 3 and 1,844,208.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 5,532,625
-1 -5,532,625

Let's try dividing by 4:

5,532,625 ÷ 4 = 1,383,156.25

If the quotient is a whole number, then 4 and 1,383,156.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 5,532,625
-1 5,532,625
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

15725351251758756,32331,61544,261158,075221,305790,3751,106,5255,532,625
-1-5-7-25-35-125-175-875-6,323-31,615-44,261-158,075-221,305-790,375-1,106,525-5,532,625

More Examples

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